A train moving at the rate of 36 km per hour crosses a standing

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A train moving at the rate of 36 km per hour crosses a standing man in 10 seconds. It will cross a platform 55 meters long in ?

1. 5¹ / ₂ seconds
2. 6 seconds
3. 7¹ / ₂ seconds
4. 15¹ / ₂ seconds

Correct Option: D

speed of train = 36 x (5/18) = 10 m/sec.
Let the length of the train be L meters
Then, L/10 = 10
⇒ L = 100 meters.

∴ Time taken to cross the platform = (100 + 55) / 10 = 15¹/₂ sec.